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Simplifying 7w + -28 = 9(w + -2) Reorder the terms: -28 + 7w = 9(w + -2) Reorder the terms: -28 + 7w = 9(-2 + w) -28 + 7w = (-2 * 9 + w * 9) -28 + 7w = (-18 + 9w) Solving -28 + 7w = -18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -28 + 7w + -9w = -18 + 9w + -9w Combine like terms: 7w + -9w = -2w -28 + -2w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 -28 + -2w = -18 + 0 -28 + -2w = -18 Add '28' to each side of the equation. -28 + 28 + -2w = -18 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -18 + 28 -2w = -18 + 28 Combine like terms: -18 + 28 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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